Write the conversation response.  +What is meant by Linear–quadratic regulator?. +Linear–quadratic regulator The theory of optimal control is concerned with operating a dynamic system at minimum cost.. +Are there any other interesting aspects about this article?. +The case where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic function is called the LQ problem.. +Is there anything else noteable about the LQ problem?. +One of the main results in the theory is that the solution is provided by the linear–quadratic regulator (LQR), a feedback controller whose equations are given below.. +Does the LQ problem have any further applications?. +
The LQR is an important part of the solution to the LQG (linear–quadratic–Gaussian) problem.